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Revisit of non-ordinary state-based peridynamics

机译:重新审视非普通国家的白启动力学

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The force density vector in the Non-Ordinary State-Based (NOSB) PeriDynamics (PD) replaces the internal force vector derived from the divergence of the stress tensor in the classical (local) stress equilibrium equations. It involves only the non-local form of the first order derivatives of stress and displacement components. Inherent in the NOSB PD formulation is the presence of oscillations especially in the regions of steep displacement gradients. This study introduces an alternative form of the force density vector by considering the internal force vector derived directly from the displacement equilibrium equations. It involves only the non-local form of the second-order derivatives of the displacement components. The numerical results from this form of the force density vector do not present any oscillations. Therefore, it is referred to as the Refined NOSB (RNOSB) - PD. The simulations concern the comparisons of NOSB and RNOSB PD predictions for an isotropic plate with or without a notch or a crack under quasi-static and dynamic tensile loading. The RNOSB PD proves to be effective and accurate for cracking and fracture analysis without any numerical instability. (C) 2017 Elsevier Ltd. All rights reserved.
机译:非普通状态基(NOSB)性颌动力学(PD)中的力密度载体取代了源自经典(局部)应力平衡方程中应力张量的发散的内部力载体。它只涉及压力和位移组件的一阶衍生物的非本地形式。 NOSB PD配方中固有的是存在振荡的存在,尤其是陡峭位移梯度的区域。本研究通过考虑直接从位移平衡方程导出的内部力载体来引入力密度载体的替代形式。它只涉及位移组件的二阶衍生物的非本地形式。来自这种形式的力密度载体的数值结果不存在任何振荡。因此,它被称为精制的NOSB(RNOSB) - PD。仿真涉及NOSB和RNOSB PD预测的同位素板的比较,其具有或没有凹口或裂缝在准静态和动态拉伸负载下的裂缝。 RNOSB PD旨在有效,准确地用于裂缝和断裂分析,而无需任何数值不稳定性。 (c)2017 Elsevier Ltd.保留所有权利。

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